Invariance of convex sets for non-autonomous evolution equations governed by forms

DOI10.1112/jlms/jdt082zbMath1295.35285arXiv1303.1167OpenAlexW2964144864WikidataQ122657908 ScholiaQ122657908MaRDI QIDQ5494409

El Maati Ouhabaz, Wolfgang Arendt

Publication date: 28 July 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1167

zbMATH Keywords

non-autonomous Robin boundary conditions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Forms (bilinear, sesquilinear, multilinear) (47A07) Positive solutions to PDEs (35B09) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)

Related Items (4)

Evolution equations governed by Lipschitz continuous non-autonomous forms ⋮ The diamagnetic inequality for the Dirichlet‐to‐Neumann operator ⋮ Non-autonomous maximal regularity in Hilbert spaces ⋮ Reaction-diffusion systems governed by non-autonomous forms

Cites Work

• Invariance of closed convex sets and domination criteria for semigroups
• Domain perturbation for elliptic equations subject to Robin boundary conditions
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